{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:UGCID5D6LPIGVYT4D76K5UFZ3G","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6f9d233e760fd48f1f46a3e0f0892004a1c3c34b8c64a1cb702a635bb10c827e","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-09-01T00:44:13Z","title_canon_sha256":"046c1a02f7188bde14cf1cc789d1c150b15527d14245e0c1c08913448272264c"},"schema_version":"1.0","source":{"id":"1709.00118","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.00118","created_at":"2026-05-17T23:55:29Z"},{"alias_kind":"arxiv_version","alias_value":"1709.00118v2","created_at":"2026-05-17T23:55:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.00118","created_at":"2026-05-17T23:55:29Z"},{"alias_kind":"pith_short_12","alias_value":"UGCID5D6LPIG","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"UGCID5D6LPIGVYT4","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"UGCID5D6","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:3c3846c361274ede9694fd4bb8c98dfe6c481060f8b1da456835c58d9755b92c","target":"graph","created_at":"2026-05-17T23:55:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We provide a description of certain invariance properties of completely bounded bimodule maps in terms of their symbols. If $\\mathbb{G}$ is a locally compact quantum group, we characterise the completely bounded $L^{\\infty}(\\mathbb{G})'$-bimodule maps that send $C_0(\\hat{\\mathbb{G}})$ into $L^{\\infty}(\\hat{\\mathbb{G}})$ in terms of the properties of the corresponding elements of the normal Haagerup tensor product $L^{\\infty}(\\mathbb{G}) \\otimes_{\\sigma{\\rm h}} L^{\\infty}(\\mathbb{G})$. As a consequence, we obtain an intrinsic characterisation of the normal completely bounded $L^{\\infty}(\\mathbb","authors_text":"I. G. Todorov, L. Turowska, M. Alaghmandan","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-09-01T00:44:13Z","title":"Completely bounded maps and invariant subspaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.00118","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c977da3a3e940e690845ced44657f7f833b9cf848165ad3527f9c144e1096691","target":"record","created_at":"2026-05-17T23:55:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6f9d233e760fd48f1f46a3e0f0892004a1c3c34b8c64a1cb702a635bb10c827e","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-09-01T00:44:13Z","title_canon_sha256":"046c1a02f7188bde14cf1cc789d1c150b15527d14245e0c1c08913448272264c"},"schema_version":"1.0","source":{"id":"1709.00118","kind":"arxiv","version":2}},"canonical_sha256":"a18481f47e5bd06ae27c1ffcaed0b9d9bdde8f190ae4cbc0b7f2cdc5f738de71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a18481f47e5bd06ae27c1ffcaed0b9d9bdde8f190ae4cbc0b7f2cdc5f738de71","first_computed_at":"2026-05-17T23:55:29.863305Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:29.863305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5HHsB6Vx1UJYk6ycTbZah+kE3N6lfCklwzAp29BvL9vvhPy+f2J5x2K1SJ7cVfj/JTxJx32ZHOZ+HgWqj1DsCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:29.863975Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.00118","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c977da3a3e940e690845ced44657f7f833b9cf848165ad3527f9c144e1096691","sha256:3c3846c361274ede9694fd4bb8c98dfe6c481060f8b1da456835c58d9755b92c"],"state_sha256":"4ae04622d310a37aed2862dd68b7d6b65799e4ac7215533ed1ff9af8a2698e01"}